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Finding the Third Proportional to 394,491 and 640,912.50

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Solution

The third proportional to 394,491 and 640,912.50 is: 1,041,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,491 : 640,912.50 = 640,912.50 : x
  2. Step 2: Convert to fraction form
    394,491/640,912.50 = 640,912.50/x
  3. Step 3: Cross multiply
    394,491x = 640,912.50 × 640,912.50
  4. Step 4: Simplify right side
    394,491x = 410,768,832,656.25
  5. Step 5: Solve for x
    x = 410,768,832,656.25/394,491
  6. Step 6: Final answer
    x = 1,041,262.87

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.